30071628625920 has 768 divisors, whose sum is σ = 113617089331200. Its totient is φ = 6644703559680.

The previous prime is 30071628625867. The next prime is 30071628625993. The reversal of 30071628625920 is 2952682617003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8526119197 + ... + 8526122723.

It is an arithmetic number, because the mean of its divisors is an integer number (147938918400).

Almost surely, 2^{30071628625920} is an apocalyptic number.

30071628625920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30071628625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808544665600).

30071628625920 is an abundant number, since it is smaller than the sum of its proper divisors (83545460705280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30071628625920 is a wasteful number, since it uses less digits than its factorization.

30071628625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 30071628625920 in words is "thirty trillion, seventy-one billion, six hundred twenty-eight million, six hundred twenty-five thousand, nine hundred twenty".